W=2PR/R-r; solve for P

Answer: 4

Step-by-step explanation:

Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4

Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

Answer:

-2d + 6

Step-by-step explanation:

Distribute and combine like terms.

Hope this helps. Pls give brainliest.

Answer:

-2d+6

Noice picture man

Answer:

x=3/5

Step-by-step explanation:

Answer:

x = 3/5

Step-by-step explanation:

Given equation,

→ 5(x + 2/5) = 5

Now the value of x will be,

→ 5(x + 2/5) = 5

→ 5x + (10/5) = 5

→ 5x + 2 = 5

→ 5x = 5 - 2

→ 5x = 3

→ [ x = 3/5 ]

Hence, the value of x is 3/5.

Answer:

umef leaf ninja the frog held a

Let

Therefore,

Hence,

Thus

Substituting equation(1) into equation(2), we have

Hence, the amount he invested is $2400

Answer:

Step-by-step explanation:

Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.

Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.

a) c + 123 =  180    {linear pair}

 c = 180 - 123

c = 57

a = 123 {Corresponding angles}

b = a   {Vertically opposite angles are congruent}

b = 123

b) f + 82 = 180   {Linear pair}

f  = 180 - 82

f = 98

d = f        {Corresponding angles}

d = 98

e = d   {Vertically opposite angles}

e = 98

c) h = 75   {Corresponding angles}

g = h {Vertically opposite anges}

g = 75

Answer:

104 m²

Step-by-step explanation:

From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.

Triangle

If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.

Area of a triangle = 1/2 x base x height

⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²

Rectangle

From inspection, the length of the rectangle = 10m and the width = 8m

Area of a rectangle = length x width

⇒ area of the rectangle = 10 x 8 = 80 m²

Composite figure area

Therefore the total area of the figure = area of triangle + area of rectangle

⇒ total area = 24 + 80 = 104 m²

Answer:

104 m^2

Step-by-step explanation:

See attached image.

Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.

This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.

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Answer:

1 hour ago-0*C3

hours ago-(-3*C)

4.5 hours ago- (-9*C

Hey, so because you didn't include the image this is impossible to get the number values.  But, essentially you'd solve it something like this.

Remember, the Y axis goes up, and its located when you are at X = 0.  

The y intercept is the value of Y, when is 0.  

The slope of a line is referred to as "rise/run"

Basically, you take any given spot.  For example, from x = 0 to x = 2.  The run is 2, because thats how much x value the line covers.  So, in that "run" how much do you go up or go down?  Lets say in those 2 x's that you travelled, how much did the height change?  If you changed by going up 4 units, it would be (rise/run) 4/2 = 2.  The slope would be 2.  That means that for every time x increases by 1, Y goes up 2.

Answer:

The answer is "3".

Step-by-step explanation:

\(\texttt{Given graph equation: } \\\\\bold{\Rightarrow f(x)=\frac{4}{x^2-6x+9} }\)

\(\bold{\ interval: (a,\infty)}\)

differentiate the function f(x):

\(\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\\)

Formula:

\(\bold{\frac{d}{dx} \frac{v}{u}= \frac{u \frac{d}{dx} v- v\frac{d}{dx}u }{u^2}}\)

\(\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \frac{d}{dx} 4- 4\frac{d}{dx}(x^2-6x+9) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \times 0 - 4(2x-6) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{- 4(2x-6)}{(x^2-6x+9)^2}\\\\\\\Rightarrow \frac{- 4(2x-6)}{(x^2-6x+9)^2}=0\\\\\Rightarrow - 4(2x-6)=0\\\\\Rightarrow 8x-24=0\\\\\Rightarrow 8x=24\\\\\Rightarrow x=\frac{24}{8}\\\\\Rightarrow x=3\\\\\)

since the value of x in: \((-3 ,\infty) \ \ and \ \ (3, \infty)\) and \(f'(x) <= 0\\\). So, the value of a is 3

Answer:

3

Step-by-step explanation:

The Practice Operations with radical expressions is simplified using the basic of the Algebra:

Algebraic expressions incorporating radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both). The root might be an nth root, a square root, or a cube root. Radical expressions can be made simpler by taking them down to their most basic form and, if feasible, getting rid of all of the radicals.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. An algebraic expression's numerator and denominator are multiplied by the appropriate radical expression if the denominator contains a radical expression.

Practice Operations with radical expressions are:

1) \(\sqrt{540}\) = \(\sqrt{36 * 15 }\)

= 6√15

2) \(\sqrt[3]{432}\) = \(\sqrt[3]{216*2}\)

= \(6\sqrt[3]{2}\)

3) \(\sqrt[3]{128}\) = \(\sqrt[3]{64*2}\)

= \(4\sqrt[3]{2}\)

4) \(-\sqrt[4]{405}\) = \(-\sqrt[4]{81*5}\)

= \(-3\sqrt[4]{5}\)

5) \(\sqrt[3]{-5000}\) = \(-\sqrt[3]{1000*5}\)

= \(-10\sqrt[3]{5}\)

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To answer this question we will set and solve a system of equations.

Let A be the speed (in miles per hour) of the airplane in still air, and W be the wind speed (in miles per hour).

Since the airplane flying with the wind takes 4 hours to travel a distance of 1200 miles and flying against the wind takes 5 hours to travel the same distance, then we can set the following equation:

Dividing the first equation by 4 we get:

Subtracting A from the above equation we get:

Substituting the above equation in the second one we get:

Simplifying the above result we get:

Adding 1500 to the above equation we get:

Dividing the above equation by 10 we get:

Finally, substituting A=270 at W=300-A we get:

Answer:

The speed of the airplane in still air is 270 miles per hour.

The wind speed is 30 miles per hour.

Number of clients who do not play either the piano or the guitar is 22

To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.

Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B

|A ∪ B| = |A| + |B| - |A ∩ B|

where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments

Substituting the given values, we get

|A ∪ B| = 46 + 58 - 17

|A ∪ B| = 87

Therefore, the number of clients who do not play either instrument is:

109 - 87 = 22

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Answer:

x=574

Step-by-step explanation:

it says that on my caculater.

a. The three statistics that measure central location are:

b. The mean tells us the average number of miles jogged by the sample of 12 joggers last week. Median tells us the midpoint of the data. The mode give us insight into what distance is most frequently jogged by the sample

a. Mean: average of the data = (5.5 + 7.2 + 1.6 + 22.0 + 8.7 + 2.8 + 5.3 + 3.4 + 12.5 + 18.6 + 8.3 + 6.6) / 12 = 8.825 miles.

Median: middle value of the data when arranged in order = 7.95 miles.

Mode: most common value in the data set = there is no mode since no value is repeated.

b. The mean shows us how many miles on average the sample of 12 joggers covered last week. The median provides the data's midpoint, which is helpful when the mean may be impacted by extreme numbers. When it is present, the mode can help us understand what distance the sample covers most frequently. Since there is no mode in this instance, this number is useless.

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\(\begin{array}{ccll} miles&\$\\ \cline{1-2} 240 & 60\\ 160& x \end{array} \implies \cfrac{240}{160}~~=~~\cfrac{60}{x}\implies \cfrac{3}{2}~~=~~\cfrac{60}{x} \\\\\\ 3x=120\implies x=\cfrac{120}{3}\implies x=40\)

For the given inequality x < -7 we draw a straight line at the point -7. The inequality is not strict, hence the line is dotted.

A mathematical statement called an inequality compares two numbers or expressions, typically by employing a symbol. Inequalities show that two quantities are not equal and that one is more than or less than the other.

Number lines can be used to visualise inequality conditions. Depending on whether the endpoint is part of the solution set or not, numbers that meet the inequality are shaded in or denoted by an open or closed circle. A number line would, for instance, show the inequality x > 2 with an open circle at 2 and shading to the right to show all values higher than 2.

In many areas of mathematics as well as in other disciplines like economics and social sciences, inequality is used.

For the given inequality x < -7 we draw a straight line at the point -7.

The inequality is not strict, hence the line is dotted.

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The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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The critical value zα/2 for a confidence interval with a level of 99.7% is approximately 2.97.

To find the critical value zα/2 for a confidence interval with a level of 99.7%, we need to determine the value corresponding to an alpha level (α) of 0.0035 on each tail of the standard normal distribution.

The critical value zα/2 can be found using a standard normal distribution table or a statistical calculator. In this case, we want to find the value associated with an area of 0.0035 in the upper tail of the distribution.

By looking up the z-score for an area of 0.0035 in the upper tail of the standard normal distribution, we find that the critical value is approximately 2.97 (rounded to two decimal places).

As a result, 2.97 is roughly the critical value of z/2 for a confidence interval with a level of 99.7%.

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Answer:

4.97% is your answer

Step-by-step explanation:

Answer:

On average, they get an APR of 2.89%, which obliges them to pay the following amounts monthly on a $15,000 loan: 12 months. $1269.25.

Step-by-step explanation:

Answer:

60% of 20 pages = .6  * 20 = 12 pages

Step-by-step explanation:

Answer:

100.

...................

Using Pythagoras' theorem we found that when the angle is greater than 90°, the distance between the cue ball and the pocket is greater than 10 inches.

What is Pythagoras' Theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean Theorem. According to this statement, the square of the side of a triangle known as hypotenuse is equal to the sum of squares of the other two sides of the triangle.

The complete question is given below in the image.

It is given that a triangle is formed by the cue ball, eight ball and pocket as shown below.

The ∠y is greater than 90°.

The two sides of the triangle are 8 in. and 6in.

Two find the minimum distance between the cue ball and the pocket, we assume that the minimum angle formed by the paths of the cue ball and eight ball is 90°.

That is ∠y = 90°.

Then the triangle becomes a right-angle triangle.

So the distance x becomes the hypotenuse.

Using the Pythagoras theorem, we can find the hypotenuse of the triangle.

x² = 8² + 6²

x² = 100

x = 10 inches.

This is the minimum distance between the cue ball and pocket when y = 90°.

Therefore using Pythagoras' theorem we found that when the angle is greater than 90°, the distance between the cue ball and the pocket is greater than 10 inches.

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In practice, the most frequently encountered hypothesis test about a population variance is an F-test.

In statistics, hypothesis tests provide us with a tool to evaluate evidence about a population. Hypothesis testing is a crucial part of statistical inference, in which an analyst tests hypotheses using statistical methods such as t-tests, chi-squared tests, and analysis of variance (ANOVA).

In practice, the most commonly used hypothesis test for population variance is the F-test. This test can be used to test the null hypothesis that two population variances are equal. F-tests have a wide range of uses, including in quality control, financial analysis, engineering, and more. The F-test statistic is calculated by dividing the sample variance of one sample by the sample variance of another sample. The F-test requires that the data come from populations that follow normal distributions, and it is sensitive to outliers in the data.

Therefore, in practice, the most frequently encountered hypothesis test about a population variance is an F-test.

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.

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

\(GeniusUser\)